The complete statements are:
- For the single roots -1 and 2, the graph crosses the x-axis at the intercepts.
- For the double root 3, the graph touches the x-axis at the intercepts.
<h3>Missing part of the question</h3>
Complete the blanks for the function f(x) = (x + 1)(x-2)(x - 3)²
<h3>How to fill in the blanks?</h3>
The function is given as:
f(x) = (x + 1)(x-2)(x - 3)²
Express as products
f(x) = (x + 1) * (x-2) * (x - 3)²
Include the multiplicities
f(x) = (x + 1)¹ * (x-2)¹ * (x - 3)²
The factors that have a multiplicity of 1 are single roots, while the ones with multiplicity of 2 are double roots.
This means that:
- 1 multiplicity = x + 1 and x - 2
- 2 multiplicity = x - 3
The graph crosses the x-axis at 1 multiplicity and it touches the x-axis at 2 multiplicity
Hence, the terms that complete the blanks are crosses and touches, respectively
Read more about polynomials at:
brainly.com/question/4142886
#SPJ1
